Sharp Lyapunov's inequality for the measurable sets with infinite measure, with generalization to the Grand Lebesgue spaces

2014/11/09 by E. Ostrovsky, Eugeny Ostrovsky, Ostrovsky, E. +2
Engineering · Mathematics · #FOS: Mathematics #Functional Analysis (math.FA) #Nonlinear Differential Equations Analysis #Stability and Controllability of Differential Equations #advanced mathematical theories #math.FA

paper · pdf · doi:10.48550/arxiv.1411.2295

arxiv created 2014/11/09 · openalex publication_date 2014/11/09 · arxiv updated 2014/11/11 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28

Abstract

We extend the classical Lyapunov inequality on the measurable space with infinite measure and on the so-called Grand Lebesgue spaces (GLS). We find also the exact value for correspondent constant. Possible applications: Functional Analysis (for instance, interpolation of operators), Integral Equations, Probability Theory and Statistics (tail estimations for random variables) etc.

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